English

Non-Koszul quadratic Gorenstein toric rings

Commutative Algebra 2016-10-13 v2

Abstract

Koszulness of Gorenstein quadratic algebras of small socle degree is studied. In this note, we construct non-Koszul Gorenstein quadratic toric ring such that its socle degree is more than 3 by using stable set polytopes.

Keywords

Cite

@article{arxiv.1610.00260,
  title  = {Non-Koszul quadratic Gorenstein toric rings},
  author = {Kazunori Matsuda},
  journal= {arXiv preprint arXiv:1610.00260},
  year   = {2016}
}

Comments

11 pages, 3 figures, Proposition 1.3(4) is added